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Simplifying 5x + 38 = 2x + 62 Reorder the terms: 38 + 5x = 2x + 62 Reorder the terms: 38 + 5x = 62 + 2x Solving 38 + 5x = 62 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 38 + 5x + -2x = 62 + 2x + -2x Combine like terms: 5x + -2x = 3x 38 + 3x = 62 + 2x + -2x Combine like terms: 2x + -2x = 0 38 + 3x = 62 + 0 38 + 3x = 62 Add '-38' to each side of the equation. 38 + -38 + 3x = 62 + -38 Combine like terms: 38 + -38 = 0 0 + 3x = 62 + -38 3x = 62 + -38 Combine like terms: 62 + -38 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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